Combination and mean width rearrangements of solutions to elliptic equations in convex sets
Annales de l'I.H.P. Analyse non linéaire, Volume 32 (2015) no. 4, pp. 763-783.

We introduce a method to compare solutions of different equations in different domains. As a consequence, we define a new kind of rearrangement which applies to solution of fully nonlinear equations $F\left(x,u,Du,{D}^{2}u\right)=0$, not necessarily in divergence form, in convex domains and we obtain Talenti's type results for this kind of rearrangement.

DOI: 10.1016/j.anihpc.2014.04.001
Keywords: Rearrangements, Elliptic equations, Infimal convolution, Power concave envelope, Minkowski addition of convex sets
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Salani, Paolo. Combination and mean width rearrangements of solutions to elliptic equations in convex sets. Annales de l'I.H.P. Analyse non linéaire, Volume 32 (2015) no. 4, pp. 763-783. doi : 10.1016/j.anihpc.2014.04.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2014.04.001/

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